Let x=3^1/3.3^2/9..........∞ then x^1/3 =..............
sudhanva gv , 6 Years ago
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IIT JEE Entrance Exam> Let x=3^1/3.3^2/9..........∞ then x^1/3 =...
1 Answers
Arun
Last Activity: 6 Years ago
first powerof 3 are arranged.
S = 1/3 + 2/9 + 3/27 +........
S/3 = 1/9 + 2/27 + …....
now subtract
2S/3 = 1/3 + 1/9 + 1/27 +.......
2S/3 = 1/3 / (1- 1/3)
2S/3 = ½
S = ¾
now coming back to question.
x = 3^S
x = 3^(3/4)
hence x^1/3 = 3^1/4
hope it helps
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